Complexity of realization of functions from a class of three-valued logic by formulas of special type
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2012), pp. 20-26
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A set of functions of the three-valued logic is considered and upper estimates for the Shannon function in the class of formulas of specail form are obtained for that set. Some examples of sequences of functions from that set are considered and exponential lower estimates of complexity are obtained. In this case the values of the Shannon function are obtained for the considered class with the accuracy up to an additive constant.
@article{VMUMM_2012_4_a3,
author = {D. V. Truschin},
title = {Complexity of realization of functions from a class of three-valued logic by formulas of special type},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {20--26},
publisher = {mathdoc},
number = {4},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2012_4_a3/}
}
TY - JOUR AU - D. V. Truschin TI - Complexity of realization of functions from a class of three-valued logic by formulas of special type JO - Vestnik Moskovskogo universiteta. Matematika, mehanika PY - 2012 SP - 20 EP - 26 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMUMM_2012_4_a3/ LA - ru ID - VMUMM_2012_4_a3 ER -
%0 Journal Article %A D. V. Truschin %T Complexity of realization of functions from a class of three-valued logic by formulas of special type %J Vestnik Moskovskogo universiteta. Matematika, mehanika %D 2012 %P 20-26 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/VMUMM_2012_4_a3/ %G ru %F VMUMM_2012_4_a3
D. V. Truschin. Complexity of realization of functions from a class of three-valued logic by formulas of special type. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2012), pp. 20-26. http://geodesic.mathdoc.fr/item/VMUMM_2012_4_a3/